Example 1Corporate Treasury Liquidity Portfolio (2008 Liquidity Squeeze)
Given:Portfolio: $10M equities (−55%), $5M HY bonds (−35%), $2M IG bonds (+5%), $3M cash
Резултат:Stress loss=$7,150,000 (35.75% of total portfolio)
Cash and IG bonds provided only partial offset to equity/HY crash
Equity stress P&L = $10M × (−55%) = −$5,500,000. HY bond P&L = $5M × (−35%) = −$1,750,000. IG bond P&L = $2M × (+5%) = +$100,000. Cash unchanged = $0. Total stress P&L = −$7,150,000 (35.75% loss). Translating this to a corporate treasury context, a severe systemic liquidity crunch causes high-yield credit spreads to blow out and equities to plummet. While investment-grade bonds provide a minor buffer due to flight-to-quality, the overall portfolio suffers a severe drawdown, highlighting the risk of holding high-yield assets in a primary liquidity reserve.
Example 2Fixed-Income Pension Liability Match (Rate Hike Scenario)
Given:Bond portfolio: DV01=$50,000/bp; Rate shock=+200 bps (severe tightening scenario)
Резултат:Stress loss=$10,000,000
Linear approximation; actual loss slightly less due to convexity
Stress P&L = −DV01 × Rate shock = −$50,000 × 200 bps = −$10,000,000. In a rapid monetary tightening cycle, a corporate pension fund with a $50k DV01 exposure faces a $10 million capital loss from a 200 basis point interest rate spike. While this linear approximation ignores the mitigating effects of bond convexity, it provides a stark warning to treasury managers regarding the immediate capital injection required to maintain funding ratios.
Example 3Corporate Debt Portfolio Credit Spread Widening
Given:IG portfolio: CS01=$30,000/bp; HY portfolio: CS01=$15,000/bp; Stress: IG spreads +150 bps, HY spreads +600 bps
Резултат:IG loss=$4,500,000 | HY loss=$9,000,000 | Total loss=$13,500,000
HY spreads widen much more dramatically in credit crises
IG stress P&L = −$30,000 × 150 = −$4,500,000. HY stress P&L = −$15,000 × 600 = −$9,000,000. Total = −$13,500,000. During a severe credit contraction, high-yield spreads expand far more aggressively than investment-grade spreads. By segmenting the portfolio's CS01 sensitivities, the model reveals that the higher-yielding, smaller portion of the portfolio accounts for the majority of the risk ($9M loss vs. $4.5M loss), prompting a strategic shift toward higher-quality issuers.
Example 4Reverse Stress Testing for Capital Solvency
Given:Bank capital buffer=$50M; Portfolio: $200M equities, $100M bonds; Find equity loss % that exhausts capital
Резултат:Capital exhausted at: equities −25% (and bonds flat) OR equities −15% (and bonds −20%)
Reverse stress test identifies specific failure threshold scenarios
Instead of asking what a specific scenario will do, reverse stress testing identifies the exact breaking point of the enterprise. With $50M in available capital, if equities fall X%, loss = $200M × X. Setting loss = $50M yields X = 25%. So, a 25% equity decline alone completely exhausts the firm's capital buffer. If the fixed-income portfolio also declines by 20% (−$20M), the equity market threshold drops to just 15%, giving risk committees a concrete target for establishing defensive hedges.